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Introductio in Analysin Infinitorum
Introductio in Analysin Infinitorum

EULER, LEONHARD

Introductio in Analysin Infinitorum

Lausanne: Marc Michel Bousquet, 1748

FIRST EDITION of Euler's foundational work on mathematical analysis. 

"In his 'Introduction to Mathematical Analysis' Euler did for modern analysis what Euclid had done for ancient geometry. It contains an exposition of algebra, trigonometry and analytical geometry, both plane and solid, a definition of logarithms as exponents, and important contributions to the theory of equations. He evolved the modern exponential treatment of logarithms, including the fact that each number has an infinity of natural logarithms. In the early chapters there appears for the first time the definition of mathematical function, one of the fundamental concepts of modern mathematics. From Euler's time mathematics and physics tended to be treated algebraically, and many of his principles are still used in teaching mathematics" (PMM 196). 

Without the engraved portrait of the dedicatee Jean-Jacques Dortous de Mairan, possible indicating that this is an early issue. Titles in red and black with engraved vignettes, frontispiece by Soubeyran after De la Monce; with directions to the binder and 40 folding engraved plates in rear (largely unopened), woodcut initials, head- and tailpieces and chapter vignettes. 

Quarto, original blue wrappers with paper labels; custom cloth box. Two volumes. A few leaves with light dampstaining in outer margin, otherwise a fine, crisp uncut copy; extremely rare in original wrappers.

$12,000

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